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Finding the Fourth Proportional to 293.49, 440.10 and 110.84

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Solution

The fourth proportional to 293.49, 440.10 and 110.84 is: 166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 440.10 = 110.84 : x
  2. Step 2: Convert to fraction form
    293.49/440.10 = 110.84/x
  3. Step 3: Cross multiply
    293.49x = 440.10 × 110.84
  4. Step 4: Simplify right side
    293.49x = 48,778.48
  5. Step 5: Solve for x
    x = 48,778.48/293.49
  6. Step 6: Final answer
    x = 166.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.